Elastic‒plastic analysis of rock surrounding a circular roadway considering plastic hardening and dilatancy characteristics

Elastic‒plastic analysis of rock surrounding a circular roadway considering plastic hardening and dilatancy characteristics | Research Square window.SnipcartSettings = { analytics: { enabled: false } }; (function() { var accessVector = localStorage.getItem('access_vector') || ''; window.dataLayer = window.dataLayer || []; if (accessVector) { window.dataLayer.push({ user: { profile: { profileInfo: { snid: accessVector } } } }); } })(); (function(w,d,s,l,i){w[l]=w[l]||[];w[l].push({'gtm.start':new Date().getTime(),event:'gtm.js'});var f=d.getElementsByTagName(s)[0],j=d.createElement(s),dl=l!='dataLayer'?'&l='+l:'';j.async=true;j.src='https://www.googletagmanager.com/gtm.js?id='+i+dl;f.parentNode.insertBefore(j,f);})(window,document,'script','dataLayer','GTM-K279D39R'); Browse Preprints In Review Journals COVID-19 Preprints AJE Video Bytes Research Tools Research Promotion AJE Professional Editing AJE Rubriq About Preprint Platform In Review Editorial Policies Our Team Advisory Board Help Center Sign In Submit a Preprint Cite Share Download PDF Article Elastic‒plastic analysis of rock surrounding a circular roadway considering plastic hardening and dilatancy characteristics Peng Li, Ze Zhou, Youlin Xu, Yongjian Zhu, Bo Zhou, Changlun Sun, and 1 more This is a preprint; it has not been peer reviewed by a journal. https://doi.org/ 10.21203/rs.3.rs-6118754/v1 This work is licensed under a CC BY 4.0 License Status: Published Journal Publication published 04 Jun, 2025 Read the published version in Scientific Reports → Version 1 posted 8 You are reading this latest preprint version Abstract Excavation of deep roadways induces plastic failure of the surrounding rock, resulting in roof caving and uncoordinated large deformation, which seriously threatens support safety and production efficiency. A four-stage stress‒strain model of the elastic zone‒plastic zone‒softening zone‒fracture zone of the surrounding rock in a deep roadway is established to analyze the range of the roadway fracture zone. The model considers the unified strength criterion, the nonassociated flow rule, and the influence of the intermediate principal stress and dilatancy coefficient. From this model, closed solutions for the stress, strain and deformation of the surrounding rock are obtained. The results show that an increase in the value of the strength parameter b can reduce the tangential stress σ θ on the surface of the roadway but increase the values of σ θ and σ r at the plastic-flow interface, and the peak value of σ θ increases with increasing b value. The tangential strain ε θ and radial strain ε r decrease with increasing strength parameter b , and the radial displacement u r decreases with increasing b but increases significantly with increasing initial internal friction angle φ 0 and cohesion c 0 . The dilatancy coefficient η i is positively correlated with the b value and the dilatancy angle ψ i , revealing that the surrounding rock with high dilatancy is more prone to volume expansion instability. The research results provide a theoretical basis and quantitative parameter support for stability evaluation and differential support design of deep roadways. Earth and environmental sciences/Solid earth sciences/Petrology Earth and environmental sciences/Solid earth sciences/Mineralogy plastic hardening expansion characteristics UST criterion expansion coefficient elastic‒plastic Full Text Additional Declarations No competing interests reported. Supplementary Files RawData.pdf Cite Share Download PDF Status: Published Journal Publication published 04 Jun, 2025 Read the published version in Scientific Reports → Version 1 posted Editorial decision: Revision requested 22 Apr, 2025 Reviews received at journal 21 Apr, 2025 Reviews received at journal 17 Apr, 2025 Reviewers agreed at journal 17 Apr, 2025 Reviewers agreed at journal 17 Apr, 2025 Reviewers invited by journal 17 Apr, 2025 Submission checks completed at journal 17 Apr, 2025 First submitted to journal 08 Apr, 2025 You are reading this latest preprint version Research Square lets you share your work early, gain feedback from the community, and start making changes to your manuscript prior to peer review in a journal. As a division of Research Square Company, we’re committed to making research communication faster, fairer, and more useful. We do this by developing innovative software and high quality services for the global research community. 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Also discoverable on Platform About Our Team In Review Editorial Policies Advisory Board Help Center Resources Author Services Accessibility API Access RSS feed Manage Cookie Preferences © Research Square 2026 | ISSN 2693-5015 (online) Privacy Policy Terms of Service Do Not Sell My Personal Information {"props":{"pageProps":{"initialData":{"identity":"rs-6118754","acceptedTermsAndConditions":true,"allowDirectSubmit":false,"archivedVersions":[],"articleType":"Article","associatedPublications":[],"authors":[{"id":444612010,"identity":"cbb944d6-f863-4529-8a4a-ac563ecd0bf9","order_by":0,"name":"Peng Li","email":"","orcid":"","institution":"Guizhou Institute of Technology","correspondingAuthor":false,"prefix":"","firstName":"Peng","middleName":"","lastName":"Li","suffix":""},{"id":444612011,"identity":"56eeada1-d2b7-4fa7-93b6-af4074d4cb00","order_by":1,"name":"Ze 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characteristics","fulltext":[],"fulltextSource":"","fullText":"","funders":[],"hasAdminPriorityOnWorkflow":false,"hasManuscriptDocX":false,"hasOptedInToPreprint":true,"hasPassedJournalQc":"","hasAnyPriority":false,"hideJournal":false,"highlight":"","institution":"","isAcceptedByJournal":true,"isAuthorSuppliedPdf":true,"isDeskRejected":"","isHiddenFromSearch":false,"isInQc":false,"isInWorkflow":false,"isPdf":true,"isPdfUpToDate":true,"isWithdrawnOrRetracted":false,"journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true},"keywords":"plastic hardening, expansion characteristics, UST criterion, expansion coefficient, elastic‒plastic","lastPublishedDoi":"10.21203/rs.3.rs-6118754/v1","lastPublishedDoiUrl":"https://doi.org/10.21203/rs.3.rs-6118754/v1","license":{"name":"CC BY 4.0","url":"https://creativecommons.org/licenses/by/4.0/"},"manuscriptAbstract":"\u003cp\u003eExcavation of deep roadways induces plastic failure of the surrounding rock, resulting in roof caving and uncoordinated large deformation, which seriously threatens support safety and production efficiency. A four-stage stress‒strain model of the elastic zone‒plastic zone‒softening zone‒fracture zone of the surrounding rock in a deep roadway is established to analyze the range of the roadway fracture zone. The model considers the unified strength criterion, the nonassociated flow rule, and the influence of the intermediate principal stress and dilatancy coefficient. From this model, closed solutions for the stress, strain and deformation of the surrounding rock are obtained. The results show that an increase in the value of the strength parameter \u003cem\u003eb\u003c/em\u003e can reduce the tangential stress \u003cem\u003eσ\u003c/em\u003e\u003csub\u003e\u003cem\u003eθ\u003c/em\u003e\u003c/sub\u003e on the surface of the roadway but increase the values of \u003cem\u003eσ\u003c/em\u003e\u003csub\u003e\u003cem\u003eθ\u003c/em\u003e\u003c/sub\u003e and \u003cem\u003eσ\u003c/em\u003e\u003csub\u003e\u003cem\u003er\u003c/em\u003e\u003c/sub\u003e at the plastic-flow interface, and the peak value of \u003cem\u003eσ\u003c/em\u003e\u003csub\u003e\u003cem\u003eθ\u003c/em\u003e\u003c/sub\u003e increases with increasing \u003cem\u003eb\u003c/em\u003e value. The tangential strain \u003cem\u003eε\u003c/em\u003e\u003csub\u003e\u003cem\u003eθ\u003c/em\u003e\u003c/sub\u003e and radial strain \u003cem\u003eε\u003c/em\u003e\u003csub\u003e\u003cem\u003er\u003c/em\u003e\u003c/sub\u003e decrease with increasing strength parameter \u003cem\u003eb\u003c/em\u003e, and the radial displacement \u003cem\u003eu\u003c/em\u003e\u003csub\u003e\u003cem\u003er\u003c/em\u003e\u003c/sub\u003e decreases with increasing \u003cem\u003eb\u003c/em\u003e but increases significantly with increasing initial internal friction angle \u003cem\u003eφ\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e and cohesion \u003cem\u003ec\u003c/em\u003e\u003csub\u003e\u003cem\u003e0\u003c/em\u003e\u003c/sub\u003e. The dilatancy coefficient \u003cem\u003eη\u003c/em\u003e\u003csub\u003e\u003cem\u003ei\u003c/em\u003e\u003c/sub\u003e is positively correlated with the \u003cem\u003eb\u003c/em\u003e value and the dilatancy angle \u003cem\u003eψ\u003c/em\u003e\u003csub\u003e\u003cem\u003ei\u003c/em\u003e\u003c/sub\u003e, revealing that the surrounding rock with high dilatancy is more prone to volume expansion instability. The research results provide a theoretical basis and quantitative parameter support for stability evaluation and differential support design of deep roadways.\u003c/p\u003e","manuscriptTitle":"Elastic‒plastic analysis of rock surrounding a circular roadway considering plastic hardening and dilatancy characteristics","msid":"","msnumber":"","nonDraftVersions":[{"code":1,"date":"2025-04-18 06:26:00","doi":"10.21203/rs.3.rs-6118754/v1","editorialEvents":[{"type":"communityComments","content":0},{"type":"decision","content":"Revision requested","date":"2025-04-22T05:51:58+00:00","index":"","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-04-21T09:11:52+00:00","index":"hide","fulltext":""},{"type":"editorInvitedReview","content":"","date":"2025-04-18T00:11:38+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"286129068747020875770350099727628864540","date":"2025-04-17T23:59:47+00:00","index":"hide","fulltext":""},{"type":"reviewerAgreed","content":"320271510689396755773593914402962668868","date":"2025-04-17T08:53:50+00:00","index":"hide","fulltext":""},{"type":"reviewersInvited","content":"","date":"2025-04-17T08:22:44+00:00","index":"","fulltext":""},{"type":"checksComplete","content":"","date":"2025-04-17T04:52:59+00:00","index":"","fulltext":""},{"type":"submitted","content":"Scientific Reports","date":"2025-04-08T05:50:13+00:00","index":"","fulltext":""}],"status":"published","journal":{"display":true,"email":"[email protected]","identity":"scientific-reports","isNatureJournal":false,"hasQc":true,"allowDirectSubmit":false,"externalIdentity":"scirep","sideBox":"Learn more about [Scientific Reports](http://www.nature.com/srep/)","snPcode":"","submissionUrl":"","title":"Scientific Reports","twitterHandle":"","acdcEnabled":true,"dfaEnabled":true,"editorialSystem":"stoa","reportingPortfolio":"Scientific Reports","inReviewEnabled":true,"inReviewRevisionsEnabled":true}}],"origin":"","ownerIdentity":"d50db567-96f0-42bd-8706-041fc5bcea10","owner":[],"postedDate":"April 18th, 2025","published":true,"recentEditorialEvents":[],"rejectedJournal":[],"revision":"","amendment":"","status":"published-in-journal","subjectAreas":[{"id":47337672,"name":"Earth and environmental sciences/Solid earth sciences/Petrology"},{"id":47337673,"name":"Earth and environmental sciences/Solid earth sciences/Mineralogy"}],"tags":[],"updatedAt":"2025-06-09T16:11:56+00:00","versionOfRecord":{"articleIdentity":"rs-6118754","link":"https://doi.org/10.1038/s41598-025-04006-3","journal":{"identity":"scientific-reports","isVorOnly":false,"title":"Scientific Reports"},"publishedOn":"2025-06-04 15:57:55","publishedOnDateReadable":"June 4th, 2025"},"versionCreatedAt":"2025-04-18 06:26:00","video":"","vorDoi":"10.1038/s41598-025-04006-3","vorDoiUrl":"https://doi.org/10.1038/s41598-025-04006-3","workflowStages":[]},"version":"v1","identity":"rs-6118754","journalConfig":"researchsquare"},"__N_SSP":true},"page":"/article/[identity]/[[...version]]","query":{"redirect":"/article/rs-6118754","identity":"rs-6118754","version":["v1"]},"buildId":"8U1c8b4HqxoKbykW_rLl7","isFallback":false,"isExperimentalCompile":false,"dynamicIds":[84888],"gssp":true,"scriptLoader":[]}